Answer:
1608.5 cm³
Step-by-step explanation:
Use the cylinder volume formula, V =
r²h
If the diameter is 16 cm, then the radius is 8 cm.
Plug in the radius and height into the formula, and solve:
V =
r²h
V =
(8)²(8)
V =
(64)(8)
V = 1608.5
So, to the nearest tenth, the volume of the cylinder is 1608.5 cm³
The 9 ounce toothpaste is a better deal.
I hope this helps you.
Answer:
A
Step-by-step explanation:
The velocity of a moving body is given by the equation:

Is the velocity is <em>positive </em>(v>0), then our object will be moving <em>forwards</em>.
And if the velocity is negative (v<0), then our object will be moving <em>backwards</em>.
We want to find between which interval(s) is the object moving backwards. Hence, the second condition. Therefore:

By substitution:

Solve. To do so, we can first solve for <em>t</em> and then test values. By factoring:

Zero Product Property:

Now, by testing values for t<1, 1<t<4, and t>4, we see that:

So, the (only) interval for which <em>v</em> is <0 is the second interval: 1<t<4.
Hence, our answer is A.
Answer:
p=5i
Step-by-step explanation:
(p^(4)=-25p^(2))/p^(2)
p^(2)=-25
Square root both sides
p=5i
i is the square root of -1, so 5i is five times that much.
The square root of a negative number in not real. That is why it is i, and not a number.